Atkin-Lehner |
2- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
4270i |
Isogeny class |
Conductor |
4270 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
16019171875000000 = 26 · 512 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -3 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2216060,1269557072] |
[a1,a2,a3,a4,a6] |
Generators |
[-616:49308:1] |
Generators of the group modulo torsion |
j |
1203561449527428120507841/16019171875000000 |
j-invariant |
L |
6.2232397556726 |
L(r)(E,1)/r! |
Ω |
0.35713822798657 |
Real period |
R |
0.43563242940677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
34160ba1 38430p1 21350c1 29890p1 |
Quadratic twists by: -4 -3 5 -7 |